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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1016.1.h.c	$1016$	$1$	1016.h	1016.h	$2$	$4$	$4$	$0.507$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-254}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)
1016.1.h.d	$1016$	$1$	1016.h	1016.h	$2$	$4$	$4$	$0.507$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-127}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{8}-q^{9}+\cdots\)